I tried running a Chromium session with no extensions for the stuff I want to be more secure (email/banking/etc.), while using Chrome for everything else, and this does work in a way. But I find that I tend to forget to switch to the other browser sometimes. A solution which said "don't run extensions on mail.google.com and online.my_bank.com" would be a lot more convenient.

The separate browser solution does protect from tracking, but with the security threats of today, like these malicious extensions with access to all your data, I've become desensitized to mere tracking.